On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest

G. P. Galdi, J. G. Heywood, Yoshihiro Shibata

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

A new approach to the existence theory for the Navier-Stokes equations, using a technique of KATO [15], further developed in combination with estimates for Oseen's equation by KOBAYASHI & SHIBATA [17] and SHIBATA [24], has made possible the solution of a long-standing open problem often referred to as Finn's "starting problem". This paper provides the solution.

Original languageEnglish
Pages (from-to)307-318
Number of pages12
JournalArchive for Rational Mechanics and Analysis
Volume138
Issue number4
Publication statusPublished - 1997 Aug 18
Externally publishedYes

Fingerprint

Oseen Equations
Existence Theory
Stokes Flow
Navier-Stokes
Global Convergence
Global Existence
Navier Stokes equations
Open Problems
Navier-Stokes Equations
Estimate

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mathematics(all)
  • Mathematics (miscellaneous)

Cite this

On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest. / Galdi, G. P.; Heywood, J. G.; Shibata, Yoshihiro.

In: Archive for Rational Mechanics and Analysis, Vol. 138, No. 4, 18.08.1997, p. 307-318.

Research output: Contribution to journalArticle

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